Aaron Abrams

activity

20002025

most citedCircles Minimize most Knot Energies

82 citations · 138 across the 28 of their papers we have counts for

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Showing 2010Show all

3 papers · 1 filter

math.GT2010

Discretized configurations and partial partitions

Aaron Abrams, David Gay, Valerie Hower

We show that the discretized configuration space of $k$ points in the $n$ -simplex is homotopy equivalent to a wedge of spheres of dimension $n - k + 1$ . This space is homeomorphic to t…

math.GR2010★ 19 cited

Pushing fillings in right-angled Artin groups

Aaron Abrams, Noel Brady, Pallavi Dani +2

We construct "pushing maps" on the cube complexes that model right-angled Artin groups (RAAGs) in order to study filling problems in certain subsets of these cube complexes. We use…

math.CO2010★ 1 cited

Distributions of order patterns of interval maps

Aaron Abrams, Eric Babson, Henry Landau +2

A permutation $σ$ describing the relative orders of the first $n$ iterates of a point $x$ under a self-map $f$ of the interval $I = [0, 1]$ is called an \emph{order pattern}. For fixe…